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中文摘要：
S-粗集具有三类形式：单向S-粗集，双向S-粗集，单向S-粗集对偶。S-粗集具有动态特性，遗传特性，记忆特性。利用单向S-粗集对偶与它的隐藏特性，本文给出f^--隐藏知识，F^--隐藏知识，隐藏度，隐藏依赖的概念，提出隐藏知识的隐藏定理，隐藏知识的隐藏依赖定理，给出F^--隐藏与F^--隐藏依赖在系统状态识别中的应用。
英文摘要：
Singular rough sets （S-rough sets）have three forms： one direction S-rough sets, dual of one direction S-rough sets and two direction S-rough sets. Dynamic, hereditary, mnemonic properties are the basic characteristics of S-rough sets. By using dual of one direction S-rough sets and its hiding characteristics, the concepts of -hiding knowledge, F^--hiding knowledge, hiding degree and hiding dependence are given. Then hiding theorem and hiding dependence theorem of hiding knowledge are proposed. Finally, an application of F^--hiding and F^--hiding dependence to system state recognition is discussed.
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